visual representation


  • Intro to Simplifying Algebraic Expressions with Tacos and Burritos

    Intro to Simplifying Algebraic Expressions with Tacos and Burritos

    Here is a Facebook Reel showing how the slides are presented. Here is a link to a YouTube video showing how the slides are presented. Here is a link to the Google Slides seen in the video. Make a copy in order to edit.


  • Interpreting Scatter Plots Using Mileage and Price of Used Cars

    Interpreting Scatter Plots Using Mileage and Price of Used Cars

    Link to a brief video showing how it works. Link to a Facebook Reel showing how it works. Link to Jamboard


  • Intro to Percent Change on Jamboard

    Intro to Percent Change on Jamboard

    This post provides details about an artifact that has a manipulative and visual representation of tax rate and discount rate. These contexts are used as an introduction to percent change. The manipulatives are presented on a Google Jamboard. Overview The price or original price is presented as dollar bill. The bill is cut into proportional…


  • Base 10 Blocks on Jamboard for Subtraction

    Base 10 Blocks on Jamboard for Subtraction

    This post provides access to and details about a Google Jamboard with scaffolded background to support multi-digit subtraction with regrouping. The Jamboard The Jamboard has images of basic base 10 blocks. The background provides side by side tables for numbers and for blocks. Additional blocks are set aside for regrouping. Here is a FB Reel…


  • Fraction Multiplication with Cookies

    Fraction Multiplication with Cookies

    Fractions are challenging. Multiplying fractions is really challenging! This post presents a Google Jamboard to introduce students to the concept of multiplication of fractions. Overview The artifact is chunked to incrementally move from multiplication of whole numbers to whole number and fraction to multiplication of fractions. The representation of multiplication as number of objects in…


  • Word Problems with Unit Rates

    Word Problems with Unit Rates

    Word problems are challenging. In middle school and high school, word problems for proportional relationships and linear functions are particularly challenging. This post shows an visualization approach to unpacking the unit rate component of such word problems. Visualizing Unit Rate Below is an excerpt from a handout used to introduce such word problems. It starts…


  • Intro to Google Jamboards

    Visuals and manipulatives allow for a multi-sensory approach to presenting math topics. Google Jamboard makes implementation of both relatively easy and is effective. Current Jamboard Here is an image of Jamboard used to guide multiplication by a 2-digit factor. Creation of the Jamboard Below is a step by step visual guide on how I created…


  • Introduction to Adding Integers

    Introduction to Adding Integers

    Operations on integers and integers in general is challenging for many students. Negative numbers are abstract. Whole numbers and fractions can be represented with images. The activity presented draws upon student prior knowledge of thumbs up and down in a vote to make negative more accessible. The following images are from a Jamboard. Here are…


  • Equal Parts of Fractions – Intro

    Equal Parts of Fractions – Intro

    The concept of fractions as some number of equal parts begins in 1st grade per the Common Core (image below). There are students who struggle with the idea of equal parts and this could undermine student work in subsequent topics. The activity cited in this post is designed to develop the concept of equal parts.…


  • Intro to Slope of a Line

    Intro to Slope of a Line

    Slope is one of the most important topics in algebra but perhaps one of the most challenging topics. One issue is that students often think of the formula as opposed to the idea of slope. The images shown below are for a handout that unpacks the idea or concept of slope. Handout The images show…